ill nature vs disposition

ill nature and disposition both are nouns.

Word	Noun	Adjective	Verb	Adverb
ill nature	Yes	No	No	No
disposition	Yes	No	No	No

As nouns, disposition is a hypernym of ill nature; that is, disposition is a word with a broader meaning than ill nature:

Other hypernyms of ill nature include temperament.

ill nature (noun)	disposition (noun)
a disagreeable, irritable, or malevolent disposition	the act or means of getting rid of something
	your usual mood
	a natural or acquired habit or characteristic tendency in a person or thing
	an attitude of mind especially one that favors one alternative over others